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Pseudo-differential operators with d...
~
Sobolev, A. V.
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Pseudo-differential operators with discontinuous symbols : = Widom's conjecture /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Pseudo-differential operators with discontinuous symbols :/ A.V. Sobolev.
Reminder of title:
Widom's conjecture /
Author:
Sobolev, A. V.
Published:
Providence, Rhode Island :American Mathematical Society, : 2013.,
Description:
v, 104 p. :ill ;25 cm.
Notes:
"March 2013, Volume 222, Number 1043 (second of 5 numbers).".
Subject:
Pseudodifferential operators. -
ISBN:
9780821884874 (pbk.) :
Pseudo-differential operators with discontinuous symbols : = Widom's conjecture /
Sobolev, A. V.
Pseudo-differential operators with discontinuous symbols :
Widom's conjecture /A.V. Sobolev. - Providence, Rhode Island :American Mathematical Society,2013. - v, 104 p. :ill ;25 cm. - Memoirs of the American Mathematical Society,number 1043.0065-9266 ;.
"March 2013, Volume 222, Number 1043 (second of 5 numbers).".
Includes bibliographical references (pages 103-104) and index.
Introduction --
ISBN: 9780821884874 (pbk.) :US72.00
LCCN: 2012043999Subjects--Topical Terms:
579200
Pseudodifferential operators.
LC Class. No.: QA329.7 / .S63 2013
Dewey Class. No.: 515/.7242
Pseudo-differential operators with discontinuous symbols : = Widom's conjecture /
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(Aleksandr Vladimirovich).
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Pseudo-differential operators with discontinuous symbols :
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Widom's conjecture /
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A.V. Sobolev.
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American Mathematical Society,
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2013.
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v, 104 p. :
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ill ;
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25 cm.
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Memoirs of the American Mathematical Society,
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0065-9266 ;
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number 1043.
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"March 2013, Volume 222, Number 1043 (second of 5 numbers).".
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Includes bibliographical references (pages 103-104) and index.
505
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$t
Introduction --
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Main result --
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Estimates for PDO's with smooth symbols --
$t
Trace-class estimates for operators with non-smooth symbols --
$t
Further trace-class estimates for operators with non-smooth symbols --
$t
A Hilbert-Schmidt class estimate --
$t
Localisation --
$t
Model problem in dimension one --
$t
Partitions of unity, and a reduction to the flat boundary --
$t
Asymptotics of the trace (9.1) --
$t
Proof of theorem 2.9 --
$t
Closing the asymptotics: proof of theorems 2.3 and 2.4 --
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Appendix 1 : a lemma by H. Widom --
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Appendix 2 : change of variables --
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Appendix 3 : a trace-class formula --
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Appendix 4 : invariance with respect to the affine change of variables.
650
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Pseudodifferential operators.
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579200
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壽豐校區(SF Campus)
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